83608112832480 has 288 divisors, whose sum is σ = 288278003613600. Its totient is φ = 22064268865536.

The previous prime is 83608112832473. The next prime is 83608112832523. The reversal of 83608112832480 is 8423821180638.

83608112832480 is a `hidden beast` number, since 8 + 3 + 6 + 0 + 8 + 1 + 128 + 32 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×83608112832480³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129798567 + ... + 130441113.

It is an arithmetic number, because the mean of its divisors is an integer number (1000965290325).

Almost surely, 2^{83608112832480} is an apocalyptic number.

83608112832480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83608112832480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144139001806800).

83608112832480 is an abundant number, since it is smaller than the sum of its proper divisors (204669890781120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83608112832480 is a wasteful number, since it uses less digits than its factorization.

83608112832480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643506 (or 643495 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 83608112832480 in words is "eighty-three trillion, six hundred eight billion, one hundred twelve million, eight hundred thirty-two thousand, four hundred eighty".